数学学科2019系列学术报告之三

        题  目：Existence and qualitative analysis for nonlinear weighted Choquard equations
        报告人：杨敏波
        时  间：3月12日15: 30-16: 30
        地  点：1-232
        摘要: The aim of this talk is to introduce sme classification results of the solutions for the critical nonlocal equation and the subcritical case of the form. We prove the existence of positive ground state solutions for the subcritical case by using Schwarz symmetrization and the critical case by a nonlocal version of concentration-compactness principle. We also establish the regularity of positive solutions for these two equations. Finally, we prove the symmetry of positive solutions by the moving plane method in integral forms.
        主讲人简介: 杨敏波，浙江师范大学教授，博士生导师，数学与计算机科学学院副院长。主要研究非线性分析与椭圆型偏微分方程，在Calc. Var. PDEs、J. Differential Equations、Ann. Mat. Pura .Appl.、Commun.Contemp. Math.、Discrete Contin. Dyn. Syst. A、Proc. Roy. Soc. Edinburgh. A等期刊发表论文50余篇；主持多项国家自然科学基金项目与浙江省自然科学基金项目。